Three perfect gases at absolute temperature T1, T2 and T3 are mixed. The masses of molecules are m1, m2 and m3 and the number of molecules are n1, n2 and n3 respectively. Assuming no loss of energy, the final temperature of the mixture is

Question:

Options :

(a) (T1 + T2 + T3)/3
(b) (n1T1+n2T2+n3T3) / n1+ n2 +n3
(c) (n1T1^2 + n2T2^2 + n3T3^2) / n1T1+n2T2+n3T3
(d) (n1^2T1^2 + n2^2T2^2 + n3^2T3^2) / n1T1+n2T2+n3T3

Answer :

(b) (n1T1+n2T2+n3T3) / n1+ n2 +n3

Answer Steps :

Step 1:

Step 2:

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